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dc.contributor.authorKuznetsov, N. V.
dc.contributor.authorMokaev, T. N.
dc.contributor.authorKudryashova, E. V.
dc.contributor.authorKuznetsova, O. A.
dc.contributor.authorDanca, M.-F.
dc.contributor.editorDanciu, Daniela
dc.date.accessioned2021-08-03T11:29:26Z
dc.date.available2021-08-03T11:29:26Z
dc.date.issued2019
dc.identifier.citationKuznetsov, N. V., Mokaev, T. N., Kudryashova, E. V., Kuznetsova, O. A., & Danca, M.-F. (2019). On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. In D. Danciu (Ed.), <i>15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019</i> (52). IFAC; Elsevier. IFAC-PapersOnLine. <a href="https://doi.org/10.1016/j.ifacol.2019.12.213" target="_blank">https://doi.org/10.1016/j.ifacol.2019.12.213</a>
dc.identifier.otherCONVID_34030121
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/77268
dc.description.abstractIn this paper, on the example of the Rössler systems, the application of the Pyragas time-delay feedback control technique for verification of Eden’s conjecture on the maximum of local Lyapunov dimension, and for the estimation of the topological entropy is demonstrated. To this end, numerical experiments on computation of finite-time local Lyapunov dimensions and finite-time topological entropy on a Rössler attractor and embedded unstable periodic orbits are performed. The problem of reliable numerical computation of the mentioned dimension-like characteristics along the trajectories over large time intervals is discussed.en
dc.format.extent178
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherIFAC; Elsevier
dc.relation.ispartof15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019
dc.relation.ispartofseriesIFAC-PapersOnLine
dc.rightsCC BY-NC-ND 4.0
dc.subject.otherchaos
dc.subject.otherhidden
dc.subject.otherself-excited attractors
dc.subject.otherLyapunov dimension
dc.subject.otherLyapunov exponents
dc.subject.otherunstable periodic orbit
dc.subject.othertime-delay feedback control
dc.titleOn lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems
dc.typeconferenceObject
dc.identifier.urnURN:NBN:fi:jyu-202108034436
dc.contributor.laitosInformaatioteknologian tiedekuntafi
dc.contributor.laitosFaculty of Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/ConferencePaper
dc.type.coarhttp://purl.org/coar/resource_type/c_5794
dc.description.reviewstatuspeerReviewed
dc.relation.issn2405-8971
dc.relation.numberinseries18
dc.relation.volume52
dc.rights.copyright© 2019 IFAC
dc.rights.accesslevelopenAccessfi
dc.relation.conferenceIFAC Workshop on Time Delay Systems
dc.format.contentfulltext
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1016/j.ifacol.2019.12.213
jyx.fundinginformationThis work was supported by the Russian Science Foundation 19-41-02002.
dc.type.okmA4


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